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Finding the Fourth Proportional to 101,205.96, 151,801.60 and 31,081

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Solution

The fourth proportional to 101,205.96, 151,801.60 and 31,081 is: 46,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,205.96 : 151,801.60 = 31,081 : x
  2. Step 2: Convert to fraction form
    101,205.96/151,801.60 = 31,081/x
  3. Step 3: Cross multiply
    101,205.96x = 151,801.60 × 31,081
  4. Step 4: Simplify right side
    101,205.96x = 4,718,145,529.60
  5. Step 5: Solve for x
    x = 4,718,145,529.60/101,205.96
  6. Step 6: Final answer
    x = 46,619.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.